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題名 | A Numerical Computation on Thermocapillary Flow in an Open Cylindrical Cavity=開式圓柱槽內熱毛細流動之數值計算 |
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作者 | 溫茂育; | 書刊名 | 正修學報 |
卷期 | 8 1995.07[民84.07] |
頁次 | 頁53-63 |
分類號 | 440.137 |
關鍵詞 | 熱毛細流動; 熔液表面之波動; 開式圓柱槽; Thermocapillary flow; Free surface deformation; An open cylindrical cavity; |
語文 | 英文(English) |
中文摘要 | 雷射加工時熔液表面張力梯度所引起的熱毛細流動,在忽略浮力影響下數值計算 方式探討在長寬比為 1, 雷諾數為 50-1000 時,熔液之穩定層流之熱毛細流之運動情形。 結果指出慣性力強烈地影響熔液區之流型而在高的表面張力雷諾數下,對流修正等溫線。另 外,使用區域波動法計算熔液表面波動情形,此項結果顯示,熔液表面波動隨著表面張力雷 諾數的減低而增強,其主要影響因素為溶液流動速度和壓力梯度。 |
英文摘要 | The surface tension gradient driven fluid flow that occurs during laser melting has been studied. The steady laminar thermocapillary motion in a cylindrical cavity with an aspect ratio (height to diameter) of unity has been analyzed numerically for 50 ≦ Re ≦ 10 �� without the inclusion of buoyancy effect. The numerical results are qualitatively verified by the scale analysis. It indicates that the inertia force strongly influence the flow pattern in the molten zone. The cnvection in the melt modifies the isotherms in the melt at high surface tension Reynolds number and Marangoni number. In addition, surface deflections are computed using a domain perturbation for small capillary number. It is shown that the degree of the free-surface deformation for the leading-order solution varies strongly as the surface tension Reynolds number decreases. Moreover, the deflections of the liquid-gas interfaces are mainly determined by the leading order velocities and pressure gradients. |
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